Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 480/762, 1999/7839 quickly i.e. 319840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 480/762, 1999/7839 is 319840.
LCM(480/762, 1999/7839) = 319840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 480/762,1999/7839
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 480,1999
Least Common Multiple of Numerators i.e. LCM of 480,1999 is 959520.
GCF of Denominators means GCF of 762,7839 as per the given fractions.
GCF of 762,7839 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 480,1999
Given numbers has no common factors except 1. So, there LCM is their product i.e 959520
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 480,1999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(480,1999) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(480,1999) x common factors =1 x 1 = 1
LCM(480,1999) = ( 480 × 1999 ) / 1
LCM(480,1999) = 959520 / 1
LCM(480,1999) = 959520
Lets's calculate GCF of 762,7839
3 | 762, 7839 |
254, 2613 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 959520/3
Therefore the LCM of Fractions 480/762,1999/7839 is 319840
Factors of 762
List of positive integer factors of 762 that divides 762 without a remainder.
1,2,3,6,127,254,381,762
Factors of 7839
List of positive integer factors of 7839 that divides 7839 without a remainder.
1,3,9,13,39,67,117,201,603,871,2613,7839
Greatest Common Factor
We found the factors 762,7839 . The biggest common factor number is the GCF number.
So the greatest common factor 762,7839 is 3.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 480/762, 1999/7839?
Answer: LCM of Numerators as per given numbers 480/762, 1999/7839 is
LCM of Numerators i.e. for 480,1999 is 959520
GCF of denominators i.e. for 762,7839 is 3.
Thus, LCM of Fractions is 319840.Finally, LCM of Fractions for 480/762, 1999/7839 is 319840.